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Finding the Fourth Proportional to 199,601.57, 299,312.10 and 57,414.17

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Solution

The fourth proportional to 199,601.57, 299,312.10 and 57,414.17 is: 86,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,601.57 : 299,312.10 = 57,414.17 : x
  2. Step 2: Convert to fraction form
    199,601.57/299,312.10 = 57,414.17/x
  3. Step 3: Cross multiply
    199,601.57x = 299,312.10 × 57,414.17
  4. Step 4: Simplify right side
    199,601.57x = 17,184,754,295.90
  5. Step 5: Solve for x
    x = 17,184,754,295.90/199,601.57
  6. Step 6: Final answer
    x = 86,095.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.